document.write( "Question 1161340: An equation ax + bx = 8 passing through lines (3,-2) and (2,4). Find the values of a and b!\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Please answer this
\n" ); document.write( "

Algebra.Com's Answer #784852 by MathLover1(20850)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "An equation \"ax+%2B+bx+=+8\" -> you have \"bx\" and it should be \"by\"\r
\n" ); document.write( "\n" ); document.write( "passing through lines (\"3\",\"-2\") and (\"2\",\"4\"). \r
\n" ); document.write( "\n" ); document.write( "Find the values of \"a\" and \"b\"!\r
\n" ); document.write( "\n" ); document.write( "\"ax+%2B+by+=+8\"....use point (\"3\",\"-2\") \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"3a+-2b+=+8\".....solve for \"a\"\r
\n" ); document.write( "\n" ); document.write( "\"3a+=+2b%2B8\"\r
\n" ); document.write( "\n" ); document.write( "\"a+=+2b%2F3%2B8%2F3\".....eq.1\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"ax+%2B+by+=+8\"....use point (\"2\",\"4\")\r
\n" ); document.write( "\n" ); document.write( "\"2a+%2B+4b+=+8\"\r
\n" ); document.write( "\n" ); document.write( "\"2a+=+8-4b\"\r
\n" ); document.write( "\n" ); document.write( "\"a+=+4-2b\"......eq.2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "from eq.1 and eq.2 we have\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+2b%2F3%2B8%2F3=4-2b\".....solve for \"b\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+2b%2F3%2B2b=4-8%2F3\"....both sides multiply by \"3\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\"+2b%2B6b=12-8\"\r
\n" ); document.write( "\n" ); document.write( "\"+8b=4\"\r
\n" ); document.write( "\n" ); document.write( "\"+b=4%2F8\"\r
\n" ); document.write( "\n" ); document.write( "\"+b=1%2F2\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "go to\r
\n" ); document.write( "\n" ); document.write( "\"a+=+4-2b\"......eq.2, substitute \"b\"\r
\n" ); document.write( "\n" ); document.write( "\"a+=+4-2%281%2F2%29\"\r
\n" ); document.write( "\n" ); document.write( "\"a+=+4-1\"\r
\n" ); document.write( "\n" ); document.write( "\"a+=+3\"\r
\n" ); document.write( "\n" ); document.write( "and, your equation is:\r
\n" ); document.write( "\n" ); document.write( "\"3x+%2B+%281%2F2%29y+=+8\"\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );